Suppose There Are Two Types of People in an Insurance

question 4

Essay

Suppose there are two types of people in an insurance market: high and low risks.The high-risk person is sick 10% of the time and the low-risk person is sick 5% of the time.The probability of any individual being high risk is 40%.Upon getting sick,an individual loses $10,000 in medical expenses.If the insurer cannot distinguish between the two types,but the two individuals know their types,what will be the equilibrium premium?

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Definitions:

Buildings

Structures erected to serve as premises for business, residential, or other purposes, considered as fixed assets on a balance sheet.

Land

Land refers to the surface of the earth and any permanent fixtures attached to it, considered a fixed asset in accounting and not subject to depreciation.

Machinery and Equipment

Fixed assets used in the operations of a business that are expected to be used for multiple years.

Ordinary Maintenance

Routine maintenance and repairs necessary to keep property (equipment, buildings, etc.) in efficient operating condition.